GCD of 314, 844, 532, 996 Calculator

Given Input numbers are 314, 844, 532, 996

In the factoring method, we have to find the divisors of all numbers

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (314, 844, 532, 996) = 2.

Given numbers are 314, 844, 532, 996

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 844 are 2 x 2 x 211

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 314, 844, 532, 996 is 2.

Given numbers are 314, 844, 532, 996

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(314, 844) = 132508

GCD(314, 844) = ( 314 x 844 ) / 132508

= 314 / 844

= 314

Step2:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 314, 844, 532, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 534, 270, 758
• GCD of 231, 751, 392, 957
• GCD of 651, 662, 980, 263
• GCD of 949, 676, 848, 396
• GCD of 888, 704, 686, 871

Given numbers are 314, 844, 532, 996
The greatest common divisor of numbers 314, 844, 532, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 844, 532, 996 is 2.

1. What is the GCD of 314, 844, 532, 996?

GCD of given numbers 314, 844, 532, 996 is 2

2. How to calculate the greatest common divisor of 314, 844, 532, 996?

We can find the highest common divisor of 314, 844, 532, 996 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 314, 844, 532, 996 i.e 2.

3. How can I use the GCD of 314, 844, 532, 996Calculator?

Out the numbers 314, 844, 532, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.